Arithmetic Sequence Math Example 3

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Example 3

easy
Find the 15th term of 4,9,14,19,…4, 9, 14, 19, \ldots

Solution

  1. 1
    a1=4a_1 = 4, d=5d = 5.
  2. 2
    a15=4+14(5)=74a_{15} = 4 + 14(5) = 74.

Answer

a15=74a_{15} = 74
Identify a1a_1 and dd, then apply an=a1+(n−1)da_n = a_1 + (n-1)d.

About Arithmetic Sequence

A sequence where each term is obtained from the previous by adding a fixed constant called the common difference dd.

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More Arithmetic Sequence Examples

Example 1 easy

An arithmetic sequence has [formula] and [formula]. Find [formula] and [formula].

Example 2 medium

In an arithmetic sequence [formula] and [formula]. Find [formula] and [formula].

Example 4 medium

Find the sum of all integers from 1 to 100.

Example 5 medium

Find the sum of the first 20 terms of the arithmetic sequence: 5, 8, 11, 14, ...

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